Optomechanically induced transparency, amplification, and Fano resonance in a multimode optomechanical system with quadratic coupling

Abstract We explore the optical response of a multimode optomechanical system with quadratic coupling to weak probe field, where cavity is driven by strong control field and two movable membranes are, respectively, excited coherent mechanical driving fields. study cases that are degenerate nondegenerate. For case, it shown only one transparency window occurs transition between optomechanically induced Fano resonance can be realized tuning cavity-control detuning. nondegenerate windows observed absorption spectrum switch single double resonances. Furthermore, we show output greatly amplified or completely suppressed due complex interference effect amplitude phase Our results extended multiple membranes, which enables us light propagation more flexibly.